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Journal Article

Mathematical Analysis of Random Noise-Conclusion

01 Jan 1945-Bell System Technical Journal-Vol. 24, pp 46-156
About: This article is published in Bell System Technical Journal.The article was published on 1945-01-01 and is currently open access. It has received 807 citations till now.
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TL;DR: In this paper, the authors compared linear wave group statistics predicted by linear theories with numerical simulations, and found that these theories are not generally valid for ocean data because of many assumptions and simplifications beyond linearity and random phase or because their range of applicability does not include the vast majority of ocean conditions.
Abstract: Wave group statistics predicted by linear theories are compared to numerical simulations, thus determining ranges of spectral shapes for which the theories are valid. It is found that these theories are not generally valid for ocean data because of many assumptions and simplifications beyond linearity and random phase or because their range of applicability does not include the vast majority of ocean conditions. The simulations also provide quantitative information about the variability of linear wave group statistics which is useful when examining ocean field data. The simulation technique is used to show that important ocean gravity wave group statistics are not inconsistent with an underlying wave field composed of linearly superposed random waves. The majority of the field data examined were collected in 10 m depth; significant wave heights varied from about 20 to 200 cm, and the spectral shapes ranged from fairly narrow to broad (1

52 citations

Journal ArticleDOI
TL;DR: A theory for constructing such an explicit representation on the basis of formal scale-space theory is presented, which gives a description of the image structure that is rather coarse and is useful for studying representations based on intensity discontinuities.

52 citations

Journal ArticleDOI
TL;DR: The series of rainfall at Padova, Italy, for the years 1725-1981, is among the longest in the world as discussed by the authors, and the history and analysis of the data have been carefully investigated since the beginning of the series.
Abstract: The series of rainfall at Padova, Italy, for the years 1725–1981, is among the longest in the world. This paper concerns itself with both the history and analysis of the data: in fact operational procedures, rain gauges, sites and data quality have been carefully investigated since the beginning of the series and are herewith described. Afterwards, seasonal variations, trends, periodicities, vacillations and recurrence intervals of the frequency, precipitation amount and intensity of the monthly totals are discussed. From this analysis, the seasonal variation and a secular trend are well evident; the periodicities are generally modest and not well defined; the vacillations appear to be recurrent through-out the entire series. In conclusion, the analysis of this long series may be a useful tool not only for helping in the practical utilization of the rainfall, but also for gaining an insight into the possible mechanisms of climatic fluctuations.

51 citations

Journal ArticleDOI
TL;DR: This work proposes an active failure-pursuing Kriging modeling method to identify the most valuable samples for improving the accuracy of the predicted failure probability in time-dependent reliability analysis.

51 citations